Can I get some help solving logerithms?

**Darkhrse99** · November 25th 2007, 09:26 AM

log10 SQ of 10

I did

10^y=SQ of 10

Y=1/2 but I don't know how to that. I know I have to do something with the SQ of 10. It's not a perfect square. it comes out to 3.19.

Thanks

Jason

**topsquark** · November 25th 2007, 09:29 AM

Originally Posted by Darkhrse99

log10 SQ of 10

I did

10^y=SQ of 10

Y=1/2 but I don't know how to that. I know I have to do something with the SQ of 10. It's not a perfect square. it comes out to 3.19.

Thanks

Jason

$log_{10}(\sqrt{10}) = log_{10}(10^{1/2}) = \frac{1}{2}log_{10}(10) = \frac{1}{2} \cdot 1 = \frac{1}{2}$

-Dan

**Darkhrse99** · November 25th 2007, 09:55 AM

Dan

How did you get (10)^1/2 out of SQRT of 10?

**topsquark** · November 25th 2007, 10:02 AM

Originally Posted by Darkhrse99

Dan

How did you get (10)^1/2 out of SQRT of 10?

For any $a > 0$
$\sqrt[n]{a} = a^{1/n}$

We can prove this for the square roots fairly easily by solving $x^2 = a$ in two ways:
$x^2 = a$

$x = \sqrt{a}$ <-- Taking just the principle value for the moment.

And
$x^2 = a$

$(x^2)^{1/2} = a^{1/2}$

$x = a^{1/2}$

Thus
$\sqrt{a} = a^{1/2}$ .

-Dan

**Darkhrse99** · November 25th 2007, 10:15 AM

Thanks Dan.

**topsquark** · November 26th 2007, 11:06 AM

Originally Posted by Darkhrse99

Thanks Dan.

I live to serve.

You are welcome!

-Dan

Thread: Can I get some help solving logerithms?

LinkBack

Thread Tools

Display

Can I get some help solving logerithms?

Similar Math Help Forum Discussions

[SOLVED] Solving for x: A/sin(x)=B/sin(C-x)

Solving for X

[SOLVED] Solving a DE

Need help solving for x

solving definite integrals, and solving systems using the Gaussian Elimination method

Search Tags